Cremona's table of elliptic curves

1088 = 2⁶ · 17

Field	Data	Notes
Atkin-Lehner	2+ 17+	Signs for the Atkin-Lehner involutions
Class	1088b	Isogeny class
Conductor	1088	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-9469952 = -1 · 215 · 172	Discriminant
Eigenvalues	2+  0  0 -2  4 -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,20,144]	[a1,a2,a3,a4,a6]
Generators	[0:12:1]	Generators of the group modulo torsion
j	27000/289	j-invariant
L	2.4257094771346	L(r)(E,1)/r!
Ω	1.6950042730053	Real period
R	1.4310934289468	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1088a2 544a2 9792u2 27200r2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1088b2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	0	0	-2	4	-2	+	4	-6	-8	2	-4	-2	-4	-12	6	4	-4	4	6	-6	10	-12	-10	-10

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Quadratic twists for elliptic curve 1088b2

-4	8	-3	5	-7	17
1088a2	544a2	9792u2	27200r2	53312q2	18496a2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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